Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
Find the equation of this line in slope intercept form y-2=1/2(x+8)
Given that 3x – tan y = 4, what is dy/dx in terms of y?
Answer:
[tex]\frac{dy}{dx}[/tex] = 3 cos² y ⇒ B
Step-by-step explanation:
∵ 3x - tan(y) = 4
∵ The differentiation of tan(y) with respect to x is sec² y · dy/dx
∵ The differentiation of 3x with respect to x is 3
∵ the differentiation to 4 with respect to x is 0
∴ d/dx [3x - tan(y) = 4] is 3 - sec² y · dy/dx = 0
∵ 3 - sec²(y) · dy/dx = 0
→ Subtract 3 from both sides
∴ - sec² y · dy/dx = -3
→ Divide both sides by -1
∴ sec² y · dy/dx = 3
→ Divide both sides by sec²(x)
∴ [tex]\frac{dy}{dx}=\frac{3}{sec^{2}y}[/tex]
→ Remember [tex]\frac{1}{secy}[/tex] = cos y
∵ [tex]\frac{1}{sec^{2}y}[/tex] = cos² y
∴ [tex]\frac{3}{sec^{2}y}[/tex] = 3 cos² y
∴ [tex]\frac{dy}{dx}[/tex] = 3 cos² y
dy/dx of 3x – tan y = 4 in terms of y is;
dy/dx = 3cos²y
We are given;
3x - tan y = 4
Let's differentiate in terms of y to get;
3 - sec²y(dy/dx) = 0
This is because the derivative of tan y in terms of y is sec²y(dy/dx).
Thus, using addition property of equality, we have;
3 = sec²y(dy/dx)
Now, in trigonometric ratios;
sec y = 1/cos y
Thus;
sec²y = 1/cos²y
Therefore;
3 = (1/cos²y) (dy/dx)
Thus;
dy/dx = 3cos²y
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Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51
Answer:
4+4+4=12
Step-by-step explanation:
Each cake needs cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:
4 + 4 + 4 = 12
Answer:
Step-by-step explanation:
Nika baked three loaves of zucchini bread.
Each bread needed 17/4
17/4 simplified as a decimal is 4.25 or as a fraction 4/25
Answer 3
4 + 4 + 4 = 16
Why? Because 4/25 is NOT gonna be a whole number.
25/25 = 1.
So, saying that I picked the 3rd answer because 16 is closer to 25.
16 is over 4 so we have to look at the next place value. And 51 is more than 25.
what is the decimal multiplier to decrease by 8.4
Answer:0.916
The decimal multiplier to decrease by 8.4% is 0.916.
Step-by-step explanation:
Graph the line with slope −1 and y-intercept 3.
Answer:
See Attachment.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define variables
Slope m = -1
y-intercept b = 3
Step 2: Write linear equation
Substitute into general form.
Slope-Intercept Form: y = -x + 3
Step 3: Graph
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?
Answer:
(8,1)
Step-by-step explanation:
(8,1) you have to add do to the same to B
Pont B is located at coordinates at the line AB (8, 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)
From the general formula of midpoints of a line
coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
where,
(x₁, y₁) are the coordinates of A
(x₂, y₂) are the coordinates of B
And in our case Coordinates of the midpoint are (6, -3)
Thus,
6 = (4 + x₂)/2
x₂ = 8
-3 = (-7 + y₂)/2
y₂ = 1
therefore, the coordinates of Pont B at line AB are (8, 1)
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Which statement about residual plots is NOT true?
A. The vertical axis shows residuals.
B. If there is an obvious pattern, the model is probably reasonable.
C. The x-axis appears in the middle of the graph.
D. The sum of the residuals is 0.
Answer:
A is the correct answer
Step-by-step explanation:
The not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.
What is a residual plot?A residual plot shows the difference between the observed response and the fitted response values.
Given that, Which statement about residual plots is not true
In the given options,
If there is an obvious pattern, the model is probably reasonable, this option is not correct because, The pattern in the residual plot suggests that predictions based on the linear regression line will result in greater error as we move from left to right through the range of the explanatory variable.
So, it is not needed if there is an obvious pattern, then the model is probably reasonable,
Hence, the not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.
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if the current ratio is 2:1 it is possible that
Answer:
is this question complete? there is nothing after the word “that”
Step-by-step explanation:
Write the letters of the expressions that are equivalent to the given expression.
5(2x + 3)
a. 10x + 15
b. 5x + 15x + 5x
c. 10x + 8
Answer: A.) 10x + 15
Step-by-step explanation:
You would distribute (multiply) the 5 to the 2x which would then make it 10x and you would distribute (multiply) the 5 to the 3 which would then make it 15. Because the 5 is a positive number the sign stays the same.
Therefore, 10x + 15 is your answer.
The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2
Answer:
The range is -2,2,-4
Step-by-step explanation:
hope this helps
A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.
Which variable is most likely the lurking variable that explains the correlation?
A: height of tallest person in the home
B: age of oldest person in the home
C: number of children in the home
D: number of pets in the home
im not doing great in math and i really need some help with this
Answer:
here you go this is for confirmation
Step-by-step explanation:
Tina wants to buy a bouquet
of red roses. The original price
is $24. How much will Tina PAY
if she buys it during the sale
when it is 25% off?
Answer:
18
Step-by-step explanation:
If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.
Answer:
It's 18
Step-by-step explanation:
25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D
Reality Check 4: Bringing the NBA into Math 0980
Your classmate tells you the details of the great deal he got on his mortgage: 30-year 1.1% fixed rate with a 20% down payment
If his new home costs $136,000, what is his down payment?
Answer:
27200
Step-by-step explanation:
HELPPPPPPP PLEASEEEEEEEEWEEE
Answer:C
Step-by-step explanation: slope of 0 will always be horizontal
is 16-7=4+5 true, false, or open?
Answer:
open
Step-by-step explanation:
Answer:
This is True.
Step-by-step explanation:
16-7=9
5+4=9
same ting
5. Juliet has swimming lessons every 5th day and dance lessons every 3rd day. If she
had a swimming lesson and a dance lesson on October 1, when will be the next
date on which she has both swimming and dance lessons?
A. October 5
B. October 10 C. October 15 D. October 18
Hope this helps!
C. October 15
If i had 127 tables and each table could fit 4 people how many people could i seat?
The weight of eggs from a local farm are Normally distributed with mean of 2.1 ounces and a standard deviation of 0.25 ounces.
A graph titled Weight of Eggs has ounces on the x-axis going from 1.35 to 2.85 in increments of 0.25. The highest point of the curve is at 2.1. Everything to the left of that point and under the curve is labeled average, everything to the right is large.
An egg that weighs 2.0 ounces or more is labeled large and anything below is labeled average.
What percent of eggs from this farm are labeled as large? Round to the nearest tenth.
⇒ 65.5 IS THE ANSWER
Answer:
65.5
Step-by-step explanation:
Answer:
65.5
Step-by-step explanation:
Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds
Answer:
The backpack weighs more
Step-by-step explanation:
9.5kg = 20.94391 lbs
Answer:
a backpack that weighs 9.5kg
Step-by-step explanation:
kilogram (kg) is stated to be 2.2 times heavier than a pound
PLEASEEE HELPPPPPPP :))))))))
Answer:
False
Explanation
The x-intercept of a line occurs when the line intersects with the x-axis.
Solve the given system of equations utilizing either the substitution or addition method.
Answer:
Value of x=4 and y=-13/3
Step-by-step explanation:
We need to solve the systems of equations
[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]
Solving using substitution method:
Let:
[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]
Find value of x from eq(1) and put in eq(2)
[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]
Put value of x in eq(2)
[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]
Now, finding value of x by putting value of y in eq(1)
[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]
So, Value of x=4 and y=-13/3
Which of the following statements are reasons for why we get electrical energy from a
battery. Select all that apply.
A bag of sunflower seeds weighs 0.35 lb.
Write the weight as a fraction.
PLEASE ANSWER
Answer:
7/20
Step-by-step explanation:
you put 35/100 and reduce into a simpilest form
find the missing value of 6/9 = m/6
Answer: 4
Step-by-step explanation:
6/9 = m/6 We can multiply both sides of the equation by 6 to solve for m
so we get 36/9 = m. m = 4
Can you help me please
For the following quadratic equation, find the discriminant.
-x^2 + 20x -126 =5
i need help please
Answer:
d=-124
Step-by-step explanation:
To find the discriminant use the equation b^2-4ac
So, 20^2-4(-131)(-1)
400-524= -124
d=-124
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
i got negative 108
Step-by-step explanation:
i got this because just put it in a porportion like x/y = x/?
then plug in the numbers it gives you. so it should look like this 5/-45 = 12/?
then multiply 12 and -45 and then divide by 5. you should get -108
pls mark branliest
1. Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
Answer:
not sure i it is one of these answers but if so , it d
Step-by-step explanation:
When performing division by repeated subtraction method, an equal
amount is subtracted from the dividend several times.
The best choice for the first number to subtract is the the option; 870
Reasons:
Dividing 956 by 87 and subtracting 10 each time, by subtracting 10 87 times gives;
956 - 87 × 10¹ = 86
From which we get;
[tex]\hspace {15} 10\\87| \overline{956}\\\hspace{15in.....} \overline{870}\\\hspace {120in......} 86[/tex]The 870 which is the part product is subtracted first to get a remainder of
86 which is less than 87.
Therefore; using powers of 10, the best choice for the first number to
subtract in the division problem 956 ÷ 87 is 87 × 10 = 870.
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